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Izvestiya: Mathematics, 2021, Volume 85, Issue 3, Pages 605–618
DOI: https://doi.org/10.1070/IM9059 (Mi im9059) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On compact subsets possessing strictly plurisubharmonic functions

N. V. Shcherbina

Department of Mathematics, University of Wuppertal, Wuppertal, Germany
English version PDF (517 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/IM9059
Abstract: We give a geometric condition on a compact subset of a complex manifold which is necessary and sufficient for the existence of a smooth strictly plurisubharmonic function defined in a neighbourhood of this set.
Keywords: strictly plurisubharmonic functions, $1$-pseudoconcave sets.
Received: 28.04.2020
Revised: 03.08.2020
Bibliographic databases:
Document Type: Article
UDC: 517.576
MSC: Primary 32U05; Secondary 32Q99
Language: English
Original paper language: Russian
Citation: N. V. Shcherbina, “On compact subsets possessing strictly plurisubharmonic functions”, Izv. Math., 85:3 (2021), 605–618
Citation in format AMSBIB
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\by N.~V.~Shcherbina
\paper On compact subsets possessing strictly plurisubharmonic functions
\jour Izv. Math.
\yr 2021
\vol 85
\issue 3
\pages 605--618
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\crossref{https://doi.org/10.1070/IM9059}
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  • https://doi.org/10.1070/IM9059
  • https://www.mathnet.ru/eng/im/v85/i3/p284
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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